A toy shop has 15 airplanes, 15 buses, 17 trains, and 20 bikes in the stock. a. How many ways are there for a person to take 15 toys home if all the airplanes are identical, all the buses are identical, all the trains are identical and all the bikes are identical? b. How many ways are there for a person to take 15 toys home if all the airplanes are distinct, all the buses are distinct, all the trains are distinct and all the bikes are distinct? c. How many ways are there for a person to take 25 toys home if all the airplanes are identical, all the buses are identical, all the trains are identical and all the bikes are identical?

A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
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Chapter1: Combinatorial Analysis
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Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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A toy shop has 15 airplanes, 15 buses, 17 trains, and 20 bikes in the stock.
a. How many ways are there for a person to take 15 toys home if all the airplanes are identical, all the buses are
identical, all the trains are identical and all the bikes are identical?
b. How many ways are there for a person to take 15 toys home if all the airplanes are distinct, all the buses are
distinct, all the trains are distinct and all the bikes are distinct?
c. How many ways are there for a person to take 25 toys home if all the airplanes are identical, all the buses are
identical, all the trains are identical and all the bikes are identical?

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